Stages and description of the procedure:
The development of mathematical models usually has several important stages, which we also pursue on our site.

In the introductory stage we try to bridge the gap between real processes and formal mathematical models. We try to understand the essence of the problem and single out the principal characteristics of the real processes that our clients deal with. At this stage, there is usually a lot of communication with clients to determine the terms, conditions, and cost of the service we will provide to the client. If a client accepts our proposed agreement, we will start working on the project immediately. This introductory stage is at no charge, while the cost of the subsequent stages will be determined in the agreement. Thus, clients can start communicating with us without a financial commitment. Be assured that you can trust us.

In case we are not able to assist you with your problem, we can, upon your request, publish it on our discussion board which will enable other professionals from all over the world try to find the right solution. The contents and the conditions of the discussion board published are with the approval of the client. If the client is not interested in communicating the problem to other users, all information will be kept absolutely confidential. The client has an opportunity to trace his order on our website at each stage.

In the first stage, we provide the mathematical formulation of a model and its detailed explanation. The mathematical description and analysis of the model will be sent to the client.

The second stage deals directly with a computer simulation of the model. At this stage, we do a qualitative and quantitative analytical investigation of the proposed model. Then, corresponding scientific computing software will be chosen or developed for a computer simulation of the problem. If the problem has a new formulation, we will develop corresponding algorithms and implement them into codes that are most preferable for our clients. The preliminary results of the computer simulation are discussed with the client.

The final stage is aimed at taking advantage of mathematical modeling. Analytical and numerical solutions and an interpretation of the results to explain the original observations lead to new predictions and the possibility of new experiments. We perform computer simulations of the client’s most important tasks, complete descriptions, and present the results of the modeling and its corresponding software.

We provide support to the client on multiple tasks, from modeling through simulation to implementation of the developed software on our clients computer network. The client pays in accordance with the agreement, which the client accepts before the project starts. If the project is completed successfully and the client has paid for the service, all the results and intellectual property obtained through the project's realization belong to client. No part of this work can be used or published by our team.